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Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform
Department of Mathematics and Statistics, University of Swat, Swat, Pakistan
Department of Mathematics, University of Malakand, Lower Dir, Pakistan
Department of Mathematics, University of Malakand, Lower Dir, Pakistan
Department of Business Administration and Accounting, Buraimi University College, Al-Buraimi, Oman
- 1 Department of Mathematics and Statistics, University of Swat, Swat, Pakistan
- 2 Department of Mathematics, University of Malakand, Lower Dir, Pakistan
- 3 Department of Mathematics, University of Malakand, Lower Dir, Pakistan
- 4 Department of Business Administration and Accounting, Buraimi University College, Al-Buraimi, Oman
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 402–412·Published 26 October 2017·DOI10.4236/ajcm.2017.74029
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Abstract
In this paper, we presents some new exact solutions corresponding to three unsteady flow problems of a generalized Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach is used in the governing equations. The exact solutions are established by means of the Fourier sine transform and N-transform. The series solutions of velocity field and associated shear stress in terms of Fox H-function, satisfying all imposed initial and boundary conditions, have been obtained. The similar solutions for ordinary Jeffrey fluid, performing the same motion, appear as limiting case of the solutions are also obtained. Also, the obtained results are analyzed graphically through various pertinent parameters.
KeywordsGeneralized Jeffrey FluidFractional DerivativesFox H-FunctionsN-Transform
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